45261 has 12 divisors (see below), whose sum is σ = 67392. Its totient is φ = 29256.

The previous prime is 45259. The next prime is 45263. The reversal of 45261 is 16254.

It is a happy number.

45261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45259) and next prime (45263).

It is not a de Polignac number, because 45261 - 2¹ = 45259 is a prime.

It is a Curzon number.

It is a plaindrome in base 12 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 370 + ... + 476.

It is an arithmetic number, because the mean of its divisors is an integer number (5616).

2⁴⁵²⁶¹ is an apocalyptic number.

It is an amenable number.

45261 is a deficient number, since it is larger than the sum of its proper divisors (22131).

45261 is a wasteful number, since it uses less digits than its factorization.

45261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 157 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 45261 is about 212.7463278179. The cubic root of 45261 is about 35.6375671268.

It can be divided in two parts, 452 and 61, that multiplied together give a palindrome (27572).

The spelling of 45261 in words is "forty-five thousand, two hundred sixty-one".